From 65cd1c7639e6dab0416ecc440b01e7257554dfc0 Mon Sep 17 00:00:00 2001
From: Jitse Niesen <jitse@maths.leeds.ac.uk>
Date: Mon, 11 Jan 2010 18:05:30 +0000
Subject: Add support for matrix sine, cosine, sinh and cosh.

---
 unsupported/test/matrix_function.cpp | 115 +++++++++++++++++++++++++++++++++++
 1 file changed, 115 insertions(+)
 create mode 100644 unsupported/test/matrix_function.cpp

(limited to 'unsupported/test/matrix_function.cpp')

diff --git a/unsupported/test/matrix_function.cpp b/unsupported/test/matrix_function.cpp
new file mode 100644
index 000000000..0eb30eecb
--- /dev/null
+++ b/unsupported/test/matrix_function.cpp
@@ -0,0 +1,115 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2010 Jitse Niesen <jitse@maths.leeds.ac.uk>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, you can redistribute it and/or
+// modify it under the terms of the GNU General Public License as
+// published by the Free Software Foundation; either version 2 of
+// the License, or (at your option) any later version.
+//
+// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
+// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
+// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#include "main.h"
+#include <unsupported/Eigen/MatrixFunctions>
+
+template<typename MatrixType>
+void testMatrixExponential(const MatrixType& m)
+{
+  typedef typename ei_traits<MatrixType>::Scalar Scalar;
+  typedef typename NumTraits<Scalar>::Real RealScalar;
+  typedef std::complex<RealScalar> ComplexScalar;
+
+  const int rows = m.rows();
+  const int cols = m.cols();
+
+  for (int i = 0; i < g_repeat; i++) {
+    MatrixType A = MatrixType::Random(rows, cols);
+    MatrixType expA1, expA2;
+    ei_matrix_exponential(A, &expA1);
+    ei_matrix_function(A, StdStemFunctions<ComplexScalar>::exp, &expA2);
+    VERIFY_IS_APPROX(expA1, expA2);
+  }
+}
+
+template<typename MatrixType>
+void testHyperbolicFunctions(const MatrixType& m)
+{
+  const int rows = m.rows();
+  const int cols = m.cols();
+
+  for (int i = 0; i < g_repeat; i++) {
+    MatrixType A = MatrixType::Random(rows, cols);
+    MatrixType sinhA, coshA, expA;
+    ei_matrix_sinh(A, &sinhA);
+    ei_matrix_cosh(A, &coshA);
+    ei_matrix_exponential(A, &expA);
+    VERIFY_IS_APPROX(sinhA, (expA - expA.inverse())/2);
+    VERIFY_IS_APPROX(coshA, (expA + expA.inverse())/2);
+  }
+}
+
+template<typename MatrixType>
+void testGonioFunctions(const MatrixType& m)
+{
+  typedef ei_traits<MatrixType> Traits;
+  typedef typename Traits::Scalar Scalar;
+  typedef typename NumTraits<Scalar>::Real RealScalar;
+  typedef std::complex<RealScalar> ComplexScalar;
+  typedef Matrix<ComplexScalar, Traits::RowsAtCompileTime, 
+                 Traits::ColsAtCompileTime, MatrixType::Options> ComplexMatrix;
+
+  const int rows = m.rows();
+  const int cols = m.cols();
+  ComplexScalar imagUnit(0,1);
+  ComplexScalar two(2,0);
+
+  for (int i = 0; i < g_repeat; i++) {
+    MatrixType A = MatrixType::Random(rows, cols);
+    ComplexMatrix Ac = A.template cast<ComplexScalar>();
+
+    ComplexMatrix exp_iA;
+    ei_matrix_exponential(imagUnit * Ac, &exp_iA);
+
+    MatrixType sinA;
+    ei_matrix_sin(A, &sinA);
+    ComplexMatrix sinAc = sinA.template cast<ComplexScalar>();
+    VERIFY_IS_APPROX(sinAc, (exp_iA - exp_iA.inverse()) / (two*imagUnit));
+
+    MatrixType cosA;
+    ei_matrix_cos(A, &cosA);
+    ComplexMatrix cosAc = cosA.template cast<ComplexScalar>();
+    VERIFY_IS_APPROX(cosAc, (exp_iA + exp_iA.inverse()) / 2);
+  }
+}
+
+template<typename MatrixType>
+void testMatrixType(const MatrixType& m)
+{
+  testMatrixExponential(m);
+  testHyperbolicFunctions(m);
+  testGonioFunctions(m);
+}
+
+void test_matrix_function()
+{
+  CALL_SUBTEST_1(testMatrixType(Matrix<float,1,1>()));
+  CALL_SUBTEST_2(testMatrixType(Matrix3cf()));
+  CALL_SUBTEST_3(testMatrixType(MatrixXf(8,8)));
+  CALL_SUBTEST_4(testMatrixType(Matrix2d()));
+  CALL_SUBTEST_5(testMatrixType(Matrix<double,5,5,RowMajor>()));
+  CALL_SUBTEST_6(testMatrixType(Matrix4cd()));
+  CALL_SUBTEST_7(testMatrixType(MatrixXd(13,13)));
+}
-- 
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